40103687856960 has 896 divisors, whose sum is σ = 174951376588800. Its totient is φ = 8421301002240.

The previous prime is 40103687856889. The next prime is 40103687857001. The reversal of 40103687856960 is 6965878630104.

40103687856960 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 3 + 6 + 8 + 7 + 8 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165775771 + ... + 166017509.

It is an arithmetic number, because the mean of its divisors is an integer number (195258232800).

Almost surely, 2^{40103687856960} is an apocalyptic number.

40103687856960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40103687856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87475688294400).

40103687856960 is an abundant number, since it is smaller than the sum of its proper divisors (134847688731840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40103687856960 is a wasteful number, since it uses less digits than its factorization.

40103687856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241996 (or 241980 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 40103687856960 in words is "forty trillion, one hundred three billion, six hundred eighty-seven million, eight hundred fifty-six thousand, nine hundred sixty".